Respuesta :

Answer:

See below ~

Step-by-step explanation:

Question 1

The missing angles

  • Both the unknown angles have the same value as the other two angles in the triangles are the same
  • ∠(missing) = 180 - (72 x 2)
  • ∠(missing) = 180 - 144
  • ∠(missing) = 36°

⇒ The sides are equal

⇒ Angles are not 90°

⇒ It is a rhombus

Question 2

  • The diagonals of the shape bisect other (Statement 1)
  • NY = NW (given)
  • XN = NZ (given)
  • ∠XNY = ∠WXZ (vertically opposite angles)
  • ΔXNY ≅ ΔWXZ (SAS)
  • They form two congruent triangles (Statement 2)
  • From these two statements, it is evident the figure is a parallelogram
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